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題 名 | Fourier級數展開式的方法於箱式構造應力分析之應用=Fourier Series Expansion Method for Box Structures |
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作 者 | 鄧建剛; 鄭復平; | 書刊名 | 技術學刊 |
卷 期 | 15:1 2000.03[民89.03] |
頁 次 | 頁167-177 |
分類號 | 441.1 |
關鍵詞 | Fourier級數; 解析解; 平板撓曲; 雙軸向應力; Fourier series; Analytical solution; Plate-bending; Bi-axial stress; |
語 文 | 中文(Chinese) |
中文摘要 | 本文將平版之邊界條件,以 Fourier 級數展開,使用平版之半平面解析解為影響 函數,以類似於邊界元素法之邊界積分計算出影響矩陣,再以邊界諧和條件求取平版承受撓 曲及軸向作用力之解析解。進一步以各平版間之共同邊界上的力量平衡與位移諧和建立連接 條件,連接平版,應用於箱式結構中。經實例印證,本方法在較小的計算機容量及較簡易輸 入下,可獲得正確的結果。 |
英文摘要 | This study proposes an approach that is similar to the boundary element method for solving the problems of plates subjected to both in-plane and out of plane forces. The boundary conditions were expanded by Fourier series first. Utilizing the analytical solution of half plane as influence function, the influence matrices were formulated. The analytical plate solution was found by the compatibility of the boundary conditions. This approach applied further to the box structure by assembling the plates. The numerical examples were verified to be accurate under small computer storage. The input data is easier then most numerical methods. |
本系統中英文摘要資訊取自各篇刊載內容。